What is the Least Common Multiple of 34524 and 34531?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 34524 and 34531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34524 and 34531, than apply into the LCM equation.

GCF(34524,34531) = 7
LCM(34524,34531) = ( 34524 × 34531) / 7
LCM(34524,34531) = 1192148244 / 7
LCM(34524,34531) = 170306892

Least Common Multiple (LCM) of 34524 and 34531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34524 and 34531. First we will calculate the prime factors of 34524 and 34531.

Prime Factorization of 34524

Prime Factorization of 34531

Now multiplying the highest exponent prime factors to calculate the LCM of 34524 and 34531.

LCM(34524,34531) = 2² × 3² × 7¹ × 137¹ × 4933¹
LCM(34524,34531) = 170306892